Speaker:  Kenta Suzuki (MIT)

In-Person and Virtual

Zoom         https://mit.zoom.us/j/94469771032?pwd=d3JaSVhVV0xDOGpkUDdveXdOYmNXQT09

Title:          Affine Kazhdan-Lusztig polynomials on the subregular cell: with an application to character formulae

Abstract:   (Joint with Vasily Krylov)  I will explain the computation of special values of parabolic affine inverse Kazhdan-Lusztig polynomials, which give explicit formulas for certain irreducible representations of affine Lie algebras that generalize Kac and Wakimoto's results. By Bezrukavnikov's equivalence, the canonical basis in the subregular part of the anti-spherical module can be identified with irreducible objects in the exotic t-structure on the equivariant derived category of the subregular Springer fiber. We describe the irreducible objects explicitly using an equivariant derived McKay correspondence. In doing so, we identify the module with a module Lusztig defines, which compatibly extends to the regular cell.